I take a bit more pragmatic approach. Don't use trailer GVWR for calculating weight unless you are going to actually load it all the way up. We load about 1000# of stuff plus full water (500#). Rear kitchen models tend to have lighter pin weight than others. Your empty ratio is about 17%. I have found that this percentage stays about the same even when loaded. If you add 1000# to the 7136 empty your GVW is going to be close to 8200. Your 17% pin weight would be 1400#.
My 16K Reese hitch weighs 130#.
I don't know the passenger weight, but if you allow a generous 400# plus an additional 200# for "stuff", the total load on the truck is below.
1400 + 130 + 400 + 200 = 2130
Good to go if you don't mind being ~5% under TV GVWR. It would work fine for me.